Answer:
3?
Step-by-step explanation:
For a quadratic in standard form f (x) = ax² + bx +e with
vertex (h,k), determine the indicated values.
For a general quadratic equation, we want to find the equations for the vertex (h, k).
The values of the vertex are:
h = -b/(2*a) k = f(h) = b^2/(4a) - b^2/(2a) + cWe start with the general quadratic equation:
f(x) = a*x^2 + b*x + c
To find the x-value of the vertex (h in this case) we need to find the zero of the first derivate of f(x) (because the vertex is a minimum/maximum of the function).
We have:
f'(x) = 2*a*x + b
We solve:
f'(h) = 0 = 2*a*h + b
-b/(2*a) = h
So we just found the value of h.
To find the value of k, the y-value of the vertex, we need to evaluate the function in the x-value of the vertex, we will get:
k = f(h) = a*( -b/(2*a))^2 + b*( -b/(2*a)) + c
k = b^2/(4a) - b^2/(2a) + c
Then, concluding, we have:
h = -b/(2*a) k = f(h) = b^2/(4a) - b^2/(2a) + cIf you want to learn more, you can read:
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A rectangular farm has an area of 5/8 square miles. If its length is 1/9 miles, what is its width?
45/8 or 5 5/8
5/8 divided by 1/9 - 5/8 x 9/1
SOMEONE HELPPP PLZ!!!
Noreen can walk 1/3 of a mile in 12 minutes what is her average speed in miles per hour. (this is multiple choice)
A. 36 miles per hour
B. 12 miles per hour
C. 1/4 a mile per hour
D. 1 2/3 miles and hour
Step-by-step explanation:
1/3 mile in 12 minutes (=1/5 of an hour).
so, the speed (ratio of distance/time) is
1/3 mile / 12 minutes
the speed in mph is the converted ratio, where the denominator (bottom) is turned into 1 (hour).
what do I need to multiply 12 minutes with to get 1 hour ?
the same to multiply 1/5 with to get 1 : 5
to keep the overall value of the ratio the same I need to multiply both parts (top and bottom) of the fraction with the same value.
therefore,
1/3 / 12 × 5/5 = (1/3 × 5) / (12×5) = 5/3 / 60
so, the speed in mph is
5/3 miles / 60 minutes = 5/3 miles / 1 hour = 5/3 mph = 1 2/3 mph
D is the right answer.
−3,−8,12,−15,9
find the mean
Drag and drop the fractions to order them from least to greatest. -3/7 1/4 -4/5 2/3
Answer:
-4/5, -3/7, 1/4, 2/3
Step-by-step explanation:
The last one is the greatest as a positive but because it's both the greatest positive but a negative it is the smallest. Since 2/3 is closest to 1 and is positive it would be the greatest. -3/7 is a smaller value than 1/4 as it's closer to 0 than 1/4 is.
write the following ratios in the simplest form
80cm to 2m
76 cents to 3 dollars
2h to 45 min
Answer:
1. 1600
Step-by-step explanation:
1 80*20 =1600
2. 76
simplify a⁷ ÷ a⁴ × a⁵
Answer: a^8
My work: a^12 divided by a^4 and got a^8
(hope this helps) :)
Find the slope and the y-intercept of the graph of the linear equation.
y = 4x - 7
when 4a - a x 3a + 7a is simplified it is equivalent to?
Answer: -3a^2 + 11a
Step-by-step explanation:
4a - (a x 3a) + 7a - Multiply first to get 4a - 3a^2 + 7a
4a - 3a^2 + 7a - Add like terms (a terms) to get -3a^2 + 11a
So the answer in -3a^2 + 11a
Which expression is equivalent to (2x^4+8x^3-25x^2-6x+14)÷(x+6)
(1). 2x^3+4x^2+x-12 + (86/(x+6))
(2). 2x^3-4x^2-x+14
(3). 2x^3-4x^2-x + (14/(x+6))
(4). 2x^3-4x^2-x
Answer:
Here is your Answer
(3.) 2x^3-4x^2-x + (14/(x+6))
Step-by-step explanation:
The expression for the division of polynomials is obtained as (2x³- 4x²- x) + 14/(x + 6).
What is remainder theorem for polynomials?The remainder theorem states that that when a polynomial p(x) is divided by another polynomial x + a, then the remainder obtained is given as the value of the polynomial at x = -a which is written as p(-a).
The given problem can be solved by remainder theorem as follows,
Suppose p(x) = 2x⁴ + 8x³- 25x²- 6x + 14.
Now, when p(x) is divided by x + 6, the remainder is given as,
p(-6) = 2 × -6⁴ + 8 × -6³ - 25 × -6² - 6 × -6 + 14
⇒ p(-6) = 14
Thus, by division lemma the following equation can be written as,
2x⁴ + 8x³- 25x²- 6x + 14 = (x + 6)(2x³- 4x²- x) + 14
⇒ (2x⁴ + 8x³- 25x²- 6x + 14) ÷ (x + 6) = (2x³- 4x²- x) + 14/(x + 6)
Hence, the equivalent expression is given as (2x³- 4x²- x) + 14/(x + 6).
To know more about remainder theorem click on,
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The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. What is the height of the statue?
Answer: 150 + 3 = 150
Step-by-step explanation: The statue of liberty is approximately 150 feet tall from the base to the tip of the torch. A scale model is built that is 3 feet tall.
The cargo of the truck weighs no more than 2,600 pounds.
Use w to represent the weight (in pounds) of the cargo.
Answer:
w ≤ 2,600
Step-by-step explanation:
w is less than or equal to 2,600
Helppp please I will mark brainiest
Answer:
number 1
Step-by-step explanation:
read the qeustion again
HELP PLSSSSSSSSSSSSS
I need theses answer quick please! (will mark brainliest)
determine whether each pair of ratios are equivalent ratios.
1. 8/9, 72/81
2. 3/14, 21/98
3. 12/17, 50/85
Answer:
1. Equivalent
2. Equivalent
3. Not equivalent
Step-by-step explanation:
So basically for all of them you need to find a multiple for the numerator of the first fraction to see if it equals the numerator of the second fraction, and same goes for denominator.
For the first one, 8*9 is 72, and you must multiply the denominator with the same number you multiplied the numerator with, so 9*9 is 81, so it is equivalent.
Leonard owns a business earning $37,800 in profits. These profits are appreciating at about 2.3% each year. What are Leonard's profits after eight years? (2 points)
$38,383.50
$45,341.60
$31,379.67
$44,755.20
Answer:
B. $45341.60Step-by-step explanation:
Given:
Initial profit = $37800Rate of appreciation = 2.3% per yearThe equation for this:
[tex]P(t) = 37800*(1 + 0.023)^t = 37800*1.023^t[/tex]Find the value of P(8):
[tex]P(8) = 37800*1.023^8 = 45341.60[/tex]Correct choice is B
I need an explanation on how to do this one
ok!
to find mean, add all of the numbers, and divide that by how many numbers you have.
for example:
number 7 on your paper (8,9,10,15,28)
add those numbers together to get: 70
then divide 70 by 5 (since that's how many numbers there are in the problem) to get: 14
to get median write out all the numbers from least to greatest like you've done and find the middle number by marking off a number from the side each time then you will get: 10
to find mode you just write the number that appears the most. since there are no repeating numbers in your problem, theres no mode.
to find range you subtract the smallest number from the largest number in the problem.
so in your case, it would be 28-8
your range would be: 20
a watermelon is thrown down from the 7th floor of urey hall at ucsd. if the initial height of the watermelon is 21.0 meters, and it is thrown straight downward with an initial downward velocity of 3.00 m/s. how far will the watermelon have fallen from its starting height after 1.50 seconds?
Answer:
The watermelon has fallen 15.53625m
Step-by-step explanation:
x=vi*t+.5*a*t^2
x=3*1.5+.5*9.81*1.5^2
x=15.53625m
what is the aswer ??????
Answer:
A prime number is one which can be divided only by itself
please give brainliest
Answer:
The correct statement is A prime number are numbers which have only two factor.
Explanation:
Hope it helps you..
Your welcome in advance..
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Heathers rabbit has a mass of 5.190 kilograms. Jeff's rabbit has a mass of 5.195 kilograms.Write and inequality statement comparing the masses of the rabbits
Answer:
5.190 < 5.195
Step-by-step explanation:
5.195 is bigger than 5.190, so 5.195>5.190
Which symbol correctly compares these fractions?
−3/5□−2/3
A. >
B. <
C. =
Step-by-step explanation:
Or are you looking for the least
\frac{5+p}{9}<-1
Can someone help me find how to solve this?
Answer:
Step-by-step explanation:
[tex]\frac{5+p}{9} <-1\\5+p<-9\\p<-9-5\\p<-14[/tex]
Name two obtuse angles
Answer:
more than 90° or less than 180°
Determine the largest integer value x can have the inequality below. 3(2x - 5) - 2 < 2x + 4 + x
Step-by-step explanation:
First you will have to deal with the bracket by multiplying the numbers in it by 3.Group into like terms.divide both sides by the coefficient of x.PLEASEE HELP WILL MARK YOU BRAINLIEST
30) x/4 = 9
31) a/5 = 7
32) n/3 = 29
33) n/3 = 10
34) y/5 = 24
35) b/9 = 15
36) n/7 = 17
37) x/3 = 8
38) y/5 = 33
39) e/36 = 5
40) a/25 = 4
41) b/16 = 7
Answer:
30). x=36
(31). a=35
32. n=104
33. n=30
34. y=120
35. b=135
Step-by-step explanation:
x/4=9
cross multiply
x=4×9
x=36
a/5=7
cross multiply
x=5×7
x=35
(repeat thesame steps over and over)
20 days to 2 weeks ratio
Answer:
20:14 = 10:7
Step-by-step explanation:
A week is equal to 7 days
2 weeks is equal to 2*7 = 14 days
Answer:
20 : 14
Step-by-step explanation:
Since there are 20 days, convert 2 weeks into days, (7 x 2), and you get 14.
HELP PLEASE WILL MARK BRAINLIEST TO BEST ANSWER
Answer:
a
Step-by-step explanation:
Answer:
c. (3x)^2
Step-by-step explanation:
helpp!!! plz!!!!!!!!!!!